问题
解答题
先观察1-
(1)按上述规律填空:1-
(2)计算:(1-
|
答案
(1)依题意,得1-
=1 1002
×99 100
,1-101 100
=1 20102
×2009 2010
,2011 2010
故答案为:
,99 100
,101 100
,2009 2010
;2011 2010
(2)原式=
×1 2
×3 2
×2 3
×4 3
×3 4
×…×5 4
×2009 2010 2011 2010
=
×1 2 2011 2010
=
.2011 4020